Some basic problems of the theory of elasticity for plane with the cuts

Authors

  • Yuriy M. Dahl St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

DOI:

https://doi.org/10.21638/11701/spbu01.2016.113

Abstract

It was found the new solutions for the elastic plane with arbitrary quantity of cuts on real axis. Two basic cases were investigated. The first is: the both borders of cuts are load with concentrated forces, but on the infinity there are no stresses. The second is: the both borders of cuts are free, however in the infinity the plane has stretched out for external stresses.

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References

Литература

1. Справочник по коэффициентам интенсивности напряжений / ред. Ю. Мураками. Т. 1. M.: Мир, 1990. 448 с.

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3. Даль Ю.М. О формулах Г.В. Колосова в плоской задаче теории упругости при наличии периодических разрезов // Вестн. С.-Петерб. ун-та. Сер. 1. 2014. Вып. 2. С. 228-236.

4. Мусхелишвили Н.И. Некоторые основные задачи математической теории упругости. М.: Наука, 1966. 707 с.

5. Westergaard Y.M. Bearing pressures and cracks // J. Appl. Mech. 1939. Vol. 6, N 2. P. 49-53.

6. Новожилов В.В. Теория упругости. Л.: Судпромгиз, 1958. 370 с.

References

1. Reference book of stress intensity coefficients 1 (ed. by Yu.Murakami, Mir, Moscow, 1990, 448 p.) [in Russian].

2. Kolosov G.V., Application of complex variable to theory of elasticity (Leningrad, Moscow, 1935, 215 p.) [in Russian].

3. Dahl Yu.M., “About Kolosov’s formulas in a plane problem of the theory of elasticity in the presence of periodical cuts”, Vestn. St.Petersburg Univ. Ser. 1. 1(59), Issue 2, 226–236 (2014) [in Russian].

4. Muschelishwili N. I., Some basic problems of the mathematical theory of elasticity (Nauka, Moscow, 1966, 707 p.) [in Russian].

5. Westergaard Y.M., “Bearing pressures and cracks”, J. Appl. Mech. 6(2), 49–53 (1939).

6. Novojilov V.V., Theory of elasticity (Sudpromgiz, Leningrad, 1958. 370 p.) [in Russian].

Published

2020-10-19

How to Cite

Dahl, Y. M. (2020). Some basic problems of the theory of elasticity for plane with the cuts. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(1), 1. https://doi.org/10.21638/11701/spbu01.2016.113

Issue

Section

Mechanics